EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER P-LAPLACE EQ

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EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A FOURTH-ORDER P-LAPLACE EQUATIONS

The solvability of one dimensional fourth-order p-Laplace equations of the type(g(u″))″+λa(t)f(u)=0, 0<t<1,u(0)=u(1)=u″(0)=u″(1)=0,where, g(v):= |v|p-2 v, p > 1 is investigated. With cone compression/extension theorem, some existence and multiplicity results of positive solution have been required according to different growth condition of nonlinear form fat zero and at infinity.

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作 者: 白占兵  
作者单位:Department of Applied Mathematics, Petroleum UniversityEast China Dongying, Shandong 257061, P R China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2001 22(12) 
分类号:O175.8 
关键词:p-Laplacian   positive solution   cone  
机标关键词:positive solutiongrowth condition 
基金项目: 
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